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Finding the Third Proportional to 146,241 and 314,245.50

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Solution

The third proportional to 146,241 and 314,245.50 is: 675,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,241 : 314,245.50 = 314,245.50 : x
  2. Step 2: Convert to fraction form
    146,241/314,245.50 = 314,245.50/x
  3. Step 3: Cross multiply
    146,241x = 314,245.50 × 314,245.50
  4. Step 4: Simplify right side
    146,241x = 98,750,234,270.25
  5. Step 5: Solve for x
    x = 98,750,234,270.25/146,241
  6. Step 6: Final answer
    x = 675,256.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.